A Ball is Spun with Angular.... | JEE Main 2022

JEE MAIN 2022

28-06-2022

Question

A ball is spun with angular acceleration $\alpha=6 t^2-2 t$ where $t$ is in second and $\alpha$ is in rads-2. At $t=0$, the ball has angular velocity of $10 \mathrm{rads}^{-1}$ and angular position of 4 rad . The most appropriate expression for the angular position of the ball is:

Select the correct option:

$\frac{3}{2} t^4-t^2+10 t$

$\frac{t^4}{2}-\frac{t^3}{3}+10 t+4$

$\frac{2 t^4}{3}-\frac{t^3}{6}+10 t+12$

$2 t^4-\frac{t^3}{2}+5 t+4$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution